{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fdab372f-5846-47f4-9921-70a1d3d35c95",
   "metadata": {},
   "outputs": [],
   "source": [
    "#This ipynb - all the little pieces to generate graphs for Home Districts paper\n",
    "from shapely.geometry import Point, LineString, Polygon\n",
    "import shapely\n",
    "import geopandas as gpd\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from numpy import random\n",
    "from scipy.stats import norm\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "75ae56f5-6fb8-4e8d-8885-b4e800ffd1b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# THIS BLOCK IS FOR THE FIGURE W SEAT FRACTION OF EACH STATE: HD VS ENACTED\n",
    "infilename = \"votes_seats_results.csv\"\n",
    "df2 = pd.read_csv(\"state_HD_output/\"+infilename)\n",
    "STATE = df2[\"STATE\"]\n",
    "state = df2[\"state\"]  #lowercase two-letter code\n",
    "stateGOP = df2[\"stateGOP\"]\n",
    "HDseatfrac = df2['HDseatfrac']\n",
    "ENseatfrac = df2['ENseatfrac']\n",
    "HD_R = df2['HD-R']\n",
    "EN_R = df2['EN-R']  #fraction of GOP seats in an enacted map\n",
    "mapType = df2['mapType']\n",
    "df2.head()\n",
    "nStates = len(STATE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cd6d8dc2-0558-4a92-9e8a-b5f14498214b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#generating the cube law and efficiency gap lines\n",
    "nPlot = 20\n",
    "minPlot = 0.32\n",
    "maxPlot = 0.66\n",
    "dPlot = (maxPlot - minPlot) / nPlot\n",
    "xData = [0.]*nPlot\n",
    "effGap = [0.]*nPlot\n",
    "cubeLaw = [0.]*nPlot\n",
    "shiftedCube = [0.]*nPlot\n",
    "for p in range(nPlot):\n",
    "    xData[p] = minPlot + p*dPlot\n",
    "    effGap[p] = 0.5 + 2.*(xData[p] - 0.5 )\n",
    "    cubeLaw[p] = 1./(1. + ((1- xData[p])/ xData[p])**3 )\n",
    "    shiftedCube[p] = cubeLaw[p] + 0.04"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7f35143e-66d5-4670-9123-3de18ca7f6c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "SMALL_SIZE = 8\n",
    "MEDIUM_SIZE = 10\n",
    "BIGGER_SIZE = 12\n",
    "\n",
    "plt.rc('font', size=SMALL_SIZE)          # controls default text sizes\n",
    "plt.rc('axes', titlesize=SMALL_SIZE)     # fontsize of the axes title\n",
    "plt.rc('axes', labelsize=MEDIUM_SIZE)    # fontsize of the x and y labels\n",
    "plt.rc('xtick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('ytick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('legend', fontsize=SMALL_SIZE)    # legend fontsize\n",
    "plt.rc('figure', titlesize=BIGGER_SIZE)  # fontsize of the figure title"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "32b24c2a-515c-4397-ac0e-d7c8fef84b88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "COLOR = [\"red\"]*nStates\n",
    "TEXT = [\"r\"]*nStates\n",
    "MARKER = [\">\"]*nStates\n",
    "fig, ax = plt.subplots()\n",
    "for s in range(nStates):\n",
    "    if mapType[s] == \"Ind\":\n",
    "        COLOR[s] = \"purple\"\n",
    "        TEXT[s] = \"c\"\n",
    "        MARKER[s] = \"*\"\n",
    "    if mapType[s] == \"Dem\":\n",
    "        COLOR[s] = \"blue\"\n",
    "        TEXT[s] = \"d\"\n",
    "        MARKER[s] = \"<\"\n",
    "    if mapType[s] == \"Jud\":\n",
    "        COLOR[s] = \"black\"\n",
    "        TEXT[s] = \"j\"\n",
    "        MARKER[s] = \"8\"\n",
    "    if mapType[s] == \"Hybrid\":\n",
    "        COLOR[s] = \"gray\" \n",
    "        TEXT[s] = \"h\"\n",
    "        MARKER[s] = \"P\"\n",
    "    plt.text(stateGOP[s],HDseatfrac[s],STATE[s],color=COLOR[s],fontsize=15,horizontalalignment=\"center\")\n",
    "    if abs(HDseatfrac[s]-ENseatfrac[s]) > 0.01:\n",
    "        #plt.text(stateGOP[s],ENseatfrac[s],TEXT[s],color=COLOR[s],fontsize=10,horizontalalignment=\"center\")\n",
    "        plt.plot(stateGOP[s],ENseatfrac[s],marker=MARKER[s],color=COLOR[s],markersize=10)\n",
    "    else:        \n",
    "        #plt.text(stateGOP[s],ENseatfrac[s],\"o\",color=COLOR[s],fontsize=5,horizontalalignment=\"center\")\n",
    "        plt.plot(stateGOP[s],ENseatfrac[s],marker=MARKER[s],color=COLOR[s],markersize=4)\n",
    "plt.plot(xData,effGap,linestyle=':')\n",
    "plt.plot(xData,cubeLaw,linestyle=\"--\")\n",
    "plt.plot(xData,shiftedCube,linestyle=\"dotted\")\n",
    "ax.set(xlabel=\"statewide pct GOP\", ylabel=\"GOP fraction of seats\")\n",
    "plt.xlim((0.3,0.65))\n",
    "plt.ylim((0.,1.))\n",
    "plt.rc('axes', labelsize=BIGGER_SIZE)    # fontsize of the x and y labels\n",
    "plt.rcParams[\"figure.figsize\"] = (13,10)\n",
    "#plt.figure(figsize=(3,2))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "fe80ab92-3ad4-43b5-808c-425cdef140b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(1,1,marker=\"*\",color=\"purple\",markersize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "09ae54e4-b6b0-44c3-b1ec-6c9fd5418327",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "COLOR = [\"red\"]*nStates\n",
    "TEXT = [\"r\"]*nStates\n",
    "fig, ax = plt.subplots()\n",
    "for s in range(nStates):\n",
    "    if mapType[s] == \"Ind\":\n",
    "        COLOR[s] = \"green\"\n",
    "        TEXT[s] = \"i\"\n",
    "    if mapType[s] == \"Dem\":\n",
    "        COLOR[s] = \"blue\"\n",
    "        TEXT[s] = \"d\"\n",
    "    if mapType[s] == \"Jud\":\n",
    "        COLOR[s] = \"black\"\n",
    "        TEXT[s] = \"j\"\n",
    "    if mapType[s] == \"Hybrid\":\n",
    "        COLOR[s] = \"gray\" \n",
    "        TEXT[s] = \"h\"\n",
    "    plt.text(stateGOP[s],HDseatfrac[s]-0.05,STATE[s],color=COLOR[s],fontsize=12,horizontalalignment=\"center\")\n",
    "    # if abs(HDseatfrac[s]-ENseatfrac[s]) > 0.05:\n",
    "    #    plt.text(stateGOP[s],ENseatfrac[s],TEXT[s],color=COLOR[s],fontsize=10,horizontalalignment=\"center\")\n",
    "    #else:        \n",
    "    #    plt.text(stateGOP[s],ENseatfrac[s],\"o\",color=COLOR[s],fontsize=5,horizontalalignment=\"center\")\n",
    "plt.plot(xData,effGap,linestyle=':')\n",
    "plt.plot(xData,cubeLaw,linestyle=\"--\")\n",
    "ax.set(xlabel=\"statewide pct GOP\", ylabel=\"GOP fraction of seats\")\n",
    "plt.xlim((0.3,0.65))\n",
    "plt.ylim((0.,1.))\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (10,8)\n",
    "#plt.figure(figsize=(3,2))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "174f9072-ad27-424a-b8f4-925ba29a485b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "COLOR = [\"red\"]*nStates\n",
    "fig, ax = plt.subplots()\n",
    "for s in range(nStates):\n",
    "    if mapType[s] == \"Ind\":\n",
    "        COLOR[s] = \"green\"\n",
    "    if mapType[s] == \"Dem\":\n",
    "        COLOR[s] = \"blue\"\n",
    "    if mapType[s] == \"Jud\":\n",
    "        COLOR[s] = \"black\"\n",
    "    if mapType[s] == \"Hybrid\":\n",
    "        COLOR[s] = \"gray\"    \n",
    "    plt.text(stateGOP[s],ENseatfrac[s],STATE[s],color=COLOR[s],fontsize=14,horizontalalignment=\"center\")\n",
    "    if abs(HDseatfrac[s]-ENseatfrac[s]) > 0.05:\n",
    "        plt.text(stateGOP[s],HDseatfrac[s],state[s],color=COLOR[s],fontsize=12,horizontalalignment=\"center\")\n",
    "    else:        \n",
    "        plt.text(stateGOP[s],HDseatfrac[s],\"o\",color=COLOR[s],fontsize=10,horizontalalignment=\"center\")\n",
    "plt.plot(xData,effGap,linestyle=':')\n",
    "plt.plot(xData,cubeLaw,linestyle=\"--\")\n",
    "ax.set(xlabel=\"statewide pct GOP\", ylabel=\"GOP fraction of seats\")\n",
    "plt.xlim((0.3,0.65))\n",
    "plt.ylim((0.,1.))\n",
    "plt.rcParams[\"figure.figsize\"] = (10,8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "dd8a9a6d-e4d3-4136-80d1-de2f313a34c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "COLOR = [\"red\"]*nStates\n",
    "fig, ax = plt.subplots()\n",
    "for s in range(nStates):\n",
    "    if mapType[s] == \"Ind\":\n",
    "        COLOR[s] = \"green\"\n",
    "    if mapType[s] == \"Dem\":\n",
    "        COLOR[s] = \"blue\"\n",
    "    if mapType[s] == \"Jud\":\n",
    "        COLOR[s] = \"black\"\n",
    "    if mapType[s] == \"Hybrid\":\n",
    "        COLOR[s] = \"gray\"    \n",
    "    plt.text(HD_R[s],EN_R[s],STATE[s],color=COLOR[s],fontsize=14,horizontalalignment=\"center\")\n",
    "\n",
    "plt.plot([0.5,4.5],[0.5,4.5],linestyle=\"--\")\n",
    "ax.set(xlabel=\"Home-District responsiveness\", ylabel=\"enacted responsiveness\")\n",
    "plt.xlim((0.,5))\n",
    "plt.ylim((0.,5.))\n",
    "plt.rcParams[\"figure.figsize\"] = (10,8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e962ddec-3f8a-43b7-8ce9-a9401dc483ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "infilename = \"tractUse_by_state.csv\"\n",
    "df2 = pd.read_csv(\"state_HD_output/\"+infilename)\n",
    "STATE = df2[\"STATE\"]\n",
    "stateGOP = df2[\"stateGOP\"]\n",
    "nDistricts = df2[\"nDistricts\"]\n",
    "SDtractUse = df2['SDtractUse']\n",
    "HDsolveType = df2['HDsolveType']\n",
    "df2.head()\n",
    "nStates = len(STATE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "18974fca-0276-44c7-82e5-bf457b35ecf5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "COLOR = [\"red\"]*nStates\n",
    "fig, ax = plt.subplots()\n",
    "for s in range(nStates):\n",
    "    if stateGOP[s] < 0.53:        \n",
    "        COLOR[s] = \"purple\"\n",
    "    if stateGOP[s] < 0.47:\n",
    "        COLOR[s] = \"blue\"    \n",
    "    plt.text(nDistricts[s],SDtractUse[s],STATE[s],color=COLOR[s],fontsize=20,horizontalalignment=\"center\")\n",
    "plt.xlim((0.,55))\n",
    "plt.ylim((0.,0.25))\n",
    "plt.rcParams[\"figure.figsize\"] = (10,8)\n",
    "ax.set_xlabel(\"number of districts in state\", fontsize=14)\n",
    "ax.set_ylabel(\"std dev of tract usage across Home Districts\", fontsize=14)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "65ec6437-7589-4e61-b203-d0a8be8aa6f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0      8\n",
      "1     52\n",
      "2      8\n",
      "3     28\n",
      "4     14\n",
      "5     17\n",
      "6      9\n",
      "7      9\n",
      "8      8\n",
      "9     13\n",
      "10     8\n",
      "11     8\n",
      "12    14\n",
      "13    12\n",
      "14    26\n",
      "15    15\n",
      "16    17\n",
      "17     9\n",
      "18    38\n",
      "19    11\n",
      "20    10\n",
      "21     8\n",
      "Name: nDistricts, dtype: int64\n",
      "8 0.1186 WI purple\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 4320x2880 with 1 Axes>"
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       "<Figure size 1440x720 with 0 Axes>"
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     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(nDistricts)\n",
    "print(nDistricts[s],SDtractUse[s],STATE[s],COLOR[s])\n",
    "plt.text(nDistricts[s],SDtractUse[s],STATE[s],color=COLOR[s],fontsize=14)\n",
    "plt.figure(figsize=(20,10))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(20, 10))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "38cca209-4e3a-4d78-ab37-8ac3cd923116",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_internal.classic_mode: False\n",
      "agg.path.chunksize: 0\n",
      "animation.bitrate: -1\n",
      "animation.codec: h264\n",
      "animation.convert_args: []\n",
      "animation.convert_path: convert\n",
      "animation.embed_limit: 20.0\n",
      "animation.ffmpeg_args: []\n",
      "animation.ffmpeg_path: ffmpeg\n",
      "animation.frame_format: png\n",
      "animation.html: none\n",
      "animation.writer: ffmpeg\n",
      "axes.autolimit_mode: data\n",
      "axes.axisbelow: line\n",
      "axes.edgecolor: black\n",
      "axes.facecolor: white\n",
      "axes.formatter.limits: [-5, 6]\n",
      "axes.formatter.min_exponent: 0\n",
      "axes.formatter.offset_threshold: 4\n",
      "axes.formatter.use_locale: False\n",
      "axes.formatter.use_mathtext: False\n",
      "axes.formatter.useoffset: True\n",
      "axes.grid: False\n",
      "axes.grid.axis: both\n",
      "axes.grid.which: major\n",
      "axes.labelcolor: black\n",
      "axes.labelpad: 4.0\n",
      "axes.labelsize: medium\n",
      "axes.labelweight: normal\n",
      "axes.linewidth: 0.8\n",
      "axes.prop_cycle: cycler('color', ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728', '#9467bd', '#8c564b', '#e377c2', '#7f7f7f', '#bcbd22', '#17becf'])\n",
      "axes.spines.bottom: True\n",
      "axes.spines.left: True\n",
      "axes.spines.right: True\n",
      "axes.spines.top: True\n",
      "axes.titlecolor: auto\n",
      "axes.titlelocation: center\n",
      "axes.titlepad: 6.0\n",
      "axes.titlesize: large\n",
      "axes.titleweight: normal\n",
      "axes.titley: None\n",
      "axes.unicode_minus: True\n",
      "axes.xmargin: 0.05\n",
      "axes.ymargin: 0.05\n",
      "axes.zmargin: 0.05\n",
      "axes3d.grid: True\n",
      "backend: module://matplotlib_inline.backend_inline\n",
      "backend_fallback: True\n",
      "boxplot.bootstrap: None\n",
      "boxplot.boxprops.color: black\n",
      "boxplot.boxprops.linestyle: -\n",
      "boxplot.boxprops.linewidth: 1.0\n",
      "boxplot.capprops.color: black\n",
      "boxplot.capprops.linestyle: -\n",
      "boxplot.capprops.linewidth: 1.0\n",
      "boxplot.flierprops.color: black\n",
      "boxplot.flierprops.linestyle: none\n",
      "boxplot.flierprops.linewidth: 1.0\n",
      "boxplot.flierprops.marker: o\n",
      "boxplot.flierprops.markeredgecolor: black\n",
      "boxplot.flierprops.markeredgewidth: 1.0\n",
      "boxplot.flierprops.markerfacecolor: none\n",
      "boxplot.flierprops.markersize: 6.0\n",
      "boxplot.meanline: False\n",
      "boxplot.meanprops.color: C2\n",
      "boxplot.meanprops.linestyle: --\n",
      "boxplot.meanprops.linewidth: 1.0\n",
      "boxplot.meanprops.marker: ^\n",
      "boxplot.meanprops.markeredgecolor: C2\n",
      "boxplot.meanprops.markerfacecolor: C2\n",
      "boxplot.meanprops.markersize: 6.0\n",
      "boxplot.medianprops.color: C1\n",
      "boxplot.medianprops.linestyle: -\n",
      "boxplot.medianprops.linewidth: 1.0\n",
      "boxplot.notch: False\n",
      "boxplot.patchartist: False\n",
      "boxplot.showbox: True\n",
      "boxplot.showcaps: True\n",
      "boxplot.showfliers: True\n",
      "boxplot.showmeans: False\n",
      "boxplot.vertical: True\n",
      "boxplot.whiskerprops.color: black\n",
      "boxplot.whiskerprops.linestyle: -\n",
      "boxplot.whiskerprops.linewidth: 1.0\n",
      "boxplot.whiskers: 1.5\n",
      "contour.corner_mask: True\n",
      "contour.linewidth: None\n",
      "contour.negative_linestyle: dashed\n",
      "date.autoformatter.day: %Y-%m-%d\n",
      "date.autoformatter.hour: %m-%d %H\n",
      "date.autoformatter.microsecond: %M:%S.%f\n",
      "date.autoformatter.minute: %d %H:%M\n",
      "date.autoformatter.month: %Y-%m\n",
      "date.autoformatter.second: %H:%M:%S\n",
      "date.autoformatter.year: %Y\n",
      "date.converter: auto\n",
      "date.epoch: 1970-01-01T00:00:00\n",
      "date.interval_multiples: True\n",
      "docstring.hardcopy: False\n",
      "errorbar.capsize: 0.0\n",
      "figure.autolayout: False\n",
      "figure.constrained_layout.h_pad: 0.04167\n",
      "figure.constrained_layout.hspace: 0.02\n",
      "figure.constrained_layout.use: False\n",
      "figure.constrained_layout.w_pad: 0.04167\n",
      "figure.constrained_layout.wspace: 0.02\n",
      "figure.dpi: 72.0\n",
      "figure.edgecolor: (1, 1, 1, 0)\n",
      "figure.facecolor: (1, 1, 1, 0)\n",
      "figure.figsize: [60.0, 40.0]\n",
      "figure.frameon: True\n",
      "figure.max_open_warning: 20\n",
      "figure.raise_window: True\n",
      "figure.subplot.bottom: 0.125\n",
      "figure.subplot.hspace: 0.2\n",
      "figure.subplot.left: 0.125\n",
      "figure.subplot.right: 0.9\n",
      "figure.subplot.top: 0.88\n",
      "figure.subplot.wspace: 0.2\n",
      "figure.titlesize: large\n",
      "figure.titleweight: normal\n",
      "font.cursive: ['Apple Chancery', 'Textile', 'Zapf Chancery', 'Sand', 'Script MT', 'Felipa', 'Comic Neue', 'Comic Sans MS', 'cursive']\n",
      "font.family: ['sans-serif']\n",
      "font.fantasy: ['Chicago', 'Charcoal', 'Impact', 'Western', 'Humor Sans', 'xkcd', 'fantasy']\n",
      "font.monospace: ['DejaVu Sans Mono', 'Bitstream Vera Sans Mono', 'Computer Modern Typewriter', 'Andale Mono', 'Nimbus Mono L', 'Courier New', 'Courier', 'Fixed', 'Terminal', 'monospace']\n",
      "font.sans-serif: ['DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', 'sans-serif']\n",
      "font.serif: ['DejaVu Serif', 'Bitstream Vera Serif', 'Computer Modern Roman', 'New Century Schoolbook', 'Century Schoolbook L', 'Utopia', 'ITC Bookman', 'Bookman', 'Nimbus Roman No9 L', 'Times New Roman', 'Times', 'Palatino', 'Charter', 'serif']\n",
      "font.size: 10.0\n",
      "font.stretch: normal\n",
      "font.style: normal\n",
      "font.variant: normal\n",
      "font.weight: normal\n",
      "grid.alpha: 1.0\n",
      "grid.color: #b0b0b0\n",
      "grid.linestyle: -\n",
      "grid.linewidth: 0.8\n",
      "hatch.color: black\n",
      "hatch.linewidth: 1.0\n",
      "hist.bins: 10\n",
      "image.aspect: equal\n",
      "image.cmap: viridis\n",
      "image.composite_image: True\n",
      "image.interpolation: antialiased\n",
      "image.lut: 256\n",
      "image.origin: upper\n",
      "image.resample: True\n",
      "interactive: True\n",
      "keymap.back: ['left', 'c', 'backspace', 'MouseButton.BACK']\n",
      "keymap.copy: ['ctrl+c', 'cmd+c']\n",
      "keymap.forward: ['right', 'v', 'MouseButton.FORWARD']\n",
      "keymap.fullscreen: ['f', 'ctrl+f']\n",
      "keymap.grid: ['g']\n",
      "keymap.grid_minor: ['G']\n",
      "keymap.help: ['f1']\n",
      "keymap.home: ['h', 'r', 'home']\n",
      "keymap.pan: ['p']\n",
      "keymap.quit: ['ctrl+w', 'cmd+w', 'q']\n",
      "keymap.quit_all: []\n",
      "keymap.save: ['s', 'ctrl+s']\n",
      "keymap.xscale: ['k', 'L']\n",
      "keymap.yscale: ['l']\n",
      "keymap.zoom: ['o']\n",
      "legend.borderaxespad: 0.5\n",
      "legend.borderpad: 0.4\n",
      "legend.columnspacing: 2.0\n",
      "legend.edgecolor: 0.8\n",
      "legend.facecolor: inherit\n",
      "legend.fancybox: True\n",
      "legend.fontsize: medium\n",
      "legend.framealpha: 0.8\n",
      "legend.frameon: True\n",
      "legend.handleheight: 0.7\n",
      "legend.handlelength: 2.0\n",
      "legend.handletextpad: 0.8\n",
      "legend.labelcolor: None\n",
      "legend.labelspacing: 0.5\n",
      "legend.loc: best\n",
      "legend.markerscale: 1.0\n",
      "legend.numpoints: 1\n",
      "legend.scatterpoints: 1\n",
      "legend.shadow: False\n",
      "legend.title_fontsize: None\n",
      "lines.antialiased: True\n",
      "lines.color: C0\n",
      "lines.dash_capstyle: butt\n",
      "lines.dash_joinstyle: round\n",
      "lines.dashdot_pattern: [6.4, 1.6, 1.0, 1.6]\n",
      "lines.dashed_pattern: [3.7, 1.6]\n",
      "lines.dotted_pattern: [1.0, 1.65]\n",
      "lines.linestyle: -\n",
      "lines.linewidth: 1.5\n",
      "lines.marker: None\n",
      "lines.markeredgecolor: auto\n",
      "lines.markeredgewidth: 1.0\n",
      "lines.markerfacecolor: auto\n",
      "lines.markersize: 6.0\n",
      "lines.scale_dashes: True\n",
      "lines.solid_capstyle: projecting\n",
      "lines.solid_joinstyle: round\n",
      "markers.fillstyle: full\n",
      "mathtext.bf: sans:bold\n",
      "mathtext.cal: cursive\n",
      "mathtext.default: it\n",
      "mathtext.fallback: cm\n",
      "mathtext.fontset: dejavusans\n",
      "mathtext.it: sans:italic\n",
      "mathtext.rm: sans\n",
      "mathtext.sf: sans\n",
      "mathtext.tt: monospace\n",
      "patch.antialiased: True\n",
      "patch.edgecolor: black\n",
      "patch.facecolor: C0\n",
      "patch.force_edgecolor: False\n",
      "patch.linewidth: 1.0\n",
      "path.effects: []\n",
      "path.simplify: True\n",
      "path.simplify_threshold: 0.111111111111\n",
      "path.sketch: None\n",
      "path.snap: True\n",
      "pcolor.shading: auto\n",
      "pcolormesh.snap: True\n",
      "pdf.compression: 6\n",
      "pdf.fonttype: 3\n",
      "pdf.inheritcolor: False\n",
      "pdf.use14corefonts: False\n",
      "pgf.preamble: \n",
      "pgf.rcfonts: True\n",
      "pgf.texsystem: xelatex\n",
      "polaraxes.grid: True\n",
      "ps.distiller.res: 6000\n",
      "ps.fonttype: 3\n",
      "ps.papersize: letter\n",
      "ps.useafm: False\n",
      "ps.usedistiller: None\n",
      "savefig.bbox: None\n",
      "savefig.directory: ~\n",
      "savefig.dpi: figure\n",
      "savefig.edgecolor: auto\n",
      "savefig.facecolor: auto\n",
      "savefig.format: png\n",
      "savefig.orientation: portrait\n",
      "savefig.pad_inches: 0.1\n",
      "savefig.transparent: False\n",
      "scatter.edgecolors: face\n",
      "scatter.marker: o\n",
      "svg.fonttype: path\n",
      "svg.hashsalt: None\n",
      "svg.image_inline: True\n",
      "text.antialiased: True\n",
      "text.color: black\n",
      "text.hinting: force_autohint\n",
      "text.hinting_factor: 8\n",
      "text.kerning_factor: 0\n",
      "text.latex.preamble: \n",
      "text.usetex: False\n",
      "timezone: UTC\n",
      "tk.window_focus: False\n",
      "toolbar: toolbar2\n",
      "webagg.address: 127.0.0.1\n",
      "webagg.open_in_browser: True\n",
      "webagg.port: 8988\n",
      "webagg.port_retries: 50\n",
      "xaxis.labellocation: center\n",
      "xtick.alignment: center\n",
      "xtick.bottom: True\n",
      "xtick.color: black\n",
      "xtick.direction: out\n",
      "xtick.labelbottom: True\n",
      "xtick.labelcolor: inherit\n",
      "xtick.labelsize: medium\n",
      "xtick.labeltop: False\n",
      "xtick.major.bottom: True\n",
      "xtick.major.pad: 3.5\n",
      "xtick.major.size: 3.5\n",
      "xtick.major.top: True\n",
      "xtick.major.width: 0.8\n",
      "xtick.minor.bottom: True\n",
      "xtick.minor.pad: 3.4\n",
      "xtick.minor.size: 2.0\n",
      "xtick.minor.top: True\n",
      "xtick.minor.visible: False\n",
      "xtick.minor.width: 0.6\n",
      "xtick.top: False\n",
      "yaxis.labellocation: center\n",
      "ytick.alignment: center_baseline\n",
      "ytick.color: black\n",
      "ytick.direction: out\n",
      "ytick.labelcolor: inherit\n",
      "ytick.labelleft: True\n",
      "ytick.labelright: False\n",
      "ytick.labelsize: medium\n",
      "ytick.left: True\n",
      "ytick.major.left: True\n",
      "ytick.major.pad: 3.5\n",
      "ytick.major.right: True\n",
      "ytick.major.size: 3.5\n",
      "ytick.major.width: 0.8\n",
      "ytick.minor.left: True\n",
      "ytick.minor.pad: 3.4\n",
      "ytick.minor.right: True\n",
      "ytick.minor.size: 2.0\n",
      "ytick.minor.visible: False\n",
      "ytick.minor.width: 0.6\n",
      "ytick.right: False\n"
     ]
    }
   ],
   "source": [
    "print(plt.rcParams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99423b04-2a21-4347-9c4a-2f823c9a8cd2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
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 },
 "nbformat": 4,
 "nbformat_minor": 5
}
